Concept and System Design of RateControlled Drug Delivery

Concept and System Design of Rate-Controlled Drug Delivery System By Prof. Dr. Basavaraj K. Nanjwade M. Pharm. , Ph. D Department of Pharmaceutics KLE University’s College of Pharmacy BELGAUM-590010, Karnataka, India E-mail: bknanjwade@yahoo. co. in Cell No: 00919742431000 05/10/2010 Alliance Institute, Hyderabad 1

Contents Introduction Classification of rate controlled DD Systems Rate programmed Drug Delivery System Activation Modulated Drug Delivery System Feedback regulated Drug Delivery System Effect of System Parameters on Controlled Drug Delivery System References 05/10/2010 Alliance Institute, Hyderabad 2

Introduction Sustained release, sustained action, controlled release, extended action, timed release dosage forms are the terms used to identify drug delivery systems that are designed to achieve a prolonged therapeutic effect by continuously releasing medication over an extended period of time after the administration of single dose. The term “Controlled release” has become associated with those systems from which therapeutic agents may be automatically delivered at predefined rates over a long period of time. But, there are some confusion in terminology between “Controlled release” & “Sustained release” 05/10/2010 Alliance Institute, Hyderabad 3

Sustained Release : ü The term sustained release has been constantly used to describe a pharmaceutical dosage formulated to retard the release of a therapeutic agent such that its appearance in the systemic circulation is delayed &/or prolonged & its plasma profile is sustained in duration. Controlled Release : ü This term on the other hand, has a meaning that goes beyond the scope of sustained drug action. ü It also implies a predictability & reproducibility in the drug release kinetics, which means that the release of drug ingredient from a controlled delivery system proceeds at a rate profile that is not only predictable kinetically, but also reproducible from one unit to another. 05/10/2010 Alliance Institute, Hyderabad 4

An ideal controlled drug delivery system is the one which delivers the drug at a predetermined rate, locally or systematically for a specified period of time. 05/10/2010 Alliance Institute, Hyderabad 5

1. 2. 3. 4. 5. Advantages : Less fluctuation in drug blood levels. Frequency reduction in dosing. Improved patient convenience & compliance. Increased safety margin of the high potency drugs. Reduction in total health care cost. Disadvantages : Decreased systemic availability in comparison to immediate release conventional dosage forms. Poor in vivo – in vitro correlation. Possibility of dose dumping. Retrieval of drug is difficult. Higher cost of formulation. 05/10/2010 Alliance Institute, Hyderabad 6

Classification Based on their technical sophistication : • Rate preprogrammed drug delivery system • Activation-modulated drug delivery system • Feedback-regulated drug delivery system • Site targeting drug delivery system 05/10/2010 Alliance Institute, Hyderabad 7

Rate preprogrammed drug delivery system In this group , the release of drug molecule from the system has been preprogrammed at specific rate profile. They can be classified as 1. Polymer membrane permeation-controlled drug delivery system 2. Polymer matrix diffusion-controlled drug delivery system 3. Microreservior partition-controlled drug delivery system 05/10/2010 Alliance Institute, Hyderabad 8

1. Polymer membrane permeationcontrolled drug delivery system In this type, drug is totally or partially encapsulated within drug reservoir. Its drug release surface is covered by a ratecontrolling polymeric membrane having a specific permeability. Drug reservoir may exist in solid, suspension or solution form. 05/10/2010 Alliance Institute, Hyderabad 9

The rate of drug release is defined by, Q t = Km/r Ka/m Dd. Dm x CR Km/r Dmhd + Ka/m Ddhm Where, Km/r & Ka/m = partition coefficient of the drug molecule from reservoir to rate controlling membrane & from membrane to aq. Layer respectively. Dd & Dm = diffusion coefficient of rate controlling membrane & aqueous diffusion layer respectively. hm & hd = thickness of rate controlling membrane & aqueous diffusion layer respectively. CR – drug conc. In reservoir compartment. 05/10/2010 Alliance Institute, Hyderabad 10

Release of drug molecules is controlled by : Partition coefficient of the drug molecule. Diffusivity of the drug molecule. The thickness of the rate controlling membrane. 05/10/2010 Alliance Institute, Hyderabad 11

Ex. Progestasert IUD • The drug reservoir is a suspension of progesterone & barium sulphate in silicone medical fluid & is encapsulated in the vertical limb of a T-shaped device walled by a non-porous membrane of ethylene-vinyl acetate co-polymer. • It is designed to deliver natural progesterone continuously in uterine cavity at a daily dosage rate of at least 65 μg/day to achieve contraception for 1 year. 05/10/2010 Alliance Institute, Hyderabad 12

2. Polymer matrix diffusioncontrolled drug delivery system In this type, drug reservoir is prepared by homogeneously dispersing drug particle in rate controlling polymer matrix from either a lipophilic or a hydrophilic polymer. The drug dispersion in the polymer matrix is accomplished by either, 1) blending therapeutic dose of drug with polymer or highly viscous base polymer, followed by cross linking of polymer chains. 2) mixing drug solid with rubbery polymer at elevated temp. 05/10/2010 Alliance Institute, Hyderabad 13

The rate of the drug release from this system, Q t = (2 ACRDp)1/2 Where, Q/t 1/2 - rate of release of drug A – initial drug loading dose in the polymer matrix CR – drug solubility in polymer Dp – diffusivity of drug in polymer matrix 05/10/2010 Alliance Institute, Hyderabad 14

Release of drug molecule is controlled by Loading dose Polymer solubility of drug Drug diffusivity in polymer matrix. Ex. Nitro-Dur : • Nitro-Dur is a transdermal system contains nitroglycerin in acrylic-based polymer adhesives with a resinous cross-linking agent to provide a continuous source of active ingredient. 05/10/2010 Alliance Institute, Hyderabad 15

It is designed for application on to intact skin for 24 hrs to provide a continuous transdermal infusion of nitroglycerin at dosage rate of 0. 5 mg/cm 2/day for the treatment of angina pectoris. 05/10/2010 Alliance Institute, Hyderabad 16

3. Microreservior partition-controlled drug delivery system In this type, drug reservoir is fabricated by micro dispersion of an aqueous Suspension of drug in biocompatible polymer to form homogeneous dispersion. Depending upon the physicochemical properties of drugs & desired rate of drug release, the device can be further coated with a layer of biocompatible polymer to modify the mechanism & the rate of drug release. 05/10/2010 Alliance Institute, Hyderabad 17

The rate of drug release is defined by, ( ] ( [ d. Q = Dp. Ddm. Kp n. Sp – Dl. Sl(1 -n) 1 + 1 kl Km dt h Dphd + Ddhpm. Kp l Where, n = the ratio of drug conc. At the inner edge of the interfacial barrier over the drug solubility in the polymer matrix. m = a/b, a – ratio of drug conc. In the bulk of elution solution over drug solubility in the same medium. b – ratio of drug conc. At the outer edge of the polymer coating membrane over drug solubility in the same polymer. 05/10/2010 Alliance Institute, Hyderabad 18

Kl, Km & Kp = partition coefficient for the interfacial partitioning of the drug from the liquid compartment to the polymer matrix, from the polymer matrix to the polymer-coating membrane & from the polymer coating membrane to the elution solution respectively. Dl, Dp & Dd = diffusivities of the drug in the lipid layer surrounding the drug particle, the polymer coating membrane enveloping the polymer matrix, & the hydrodynamic diffusion layer surrounding the polymer coating membrane with the thickness hl, hp & hd. Sl & Sp = solubilities of the drug in the liquid compartments & in the polymer matrix, respectively. 05/10/2010 Alliance Institute, Hyderabad 19

Release of drug molecules from this type of system can follow either a dissolution or a matrix diffusion controlled process depending upon the relative magnitude of Sl & Sp. Release of drug molecule is controlled by, Partition coefficient Diffusivity of drug Solubility of drug 05/10/2010 Alliance Institute, Hyderabad 20

Ex. Syncro mate - c • It is fabricated by dispersing the drug reservoir, which is a suspension of norgestomet in an aqueous solution of PEG 400, in a viscous mixture of silicone elastomer. 05/10/2010 Alliance Institute, Hyderabad 21

• After adding the catalyst, the suspension will be delivered into the silicone medical grade tubing, which serves as mold as well as the coating membrane & then polymerized in situ. • The polymerized drug polymer composition is then cut into a cylindrical drug delivery device with the open ends. • It is designed to be inserted into the subcutaneous tissue of the livestock’s ear flap & to release norgestomet for up to 20 days for control of estrus & ovulation as well as for up to 160 days for growth promotion. 05/10/2010 Alliance Institute, Hyderabad 22

Activation modulated drug delivery system • In this group of controlled release drug delivery system, the release of drug molecules from the delivery system is activated by some physical, chemical, or biochemical process and/or by energy supplied externally. 05/10/2010 Alliance Institute, Hyderabad 23

Based on nature of the process or type of energy used they can be classified into 1. Physical means a. Osmotic pressure-activated DDS b. Hydrodynamic pressure-activated DDS c. Vapor pressure-activated DDS d. Mechanically activated DDS e. Magnetically activated DDS f. Sonophoresis activated DDS g. Iontophoresis activated DDS h. Hydration-activated DDS 05/10/2010 Alliance Institute, Hyderabad 24

2. Chemical means a. p. H- activated DDS b. Ion- activated DDS c. Hydrolysis- activated DDS 3. Biochemical means a. Enzyme- activated DDS b. Biochemical- activated DDS 05/10/2010 Alliance Institute, Hyderabad 25

a. Osmotic controlled activated drug delivery system. In this type, drug reservoir can be either solution or solid formulation contained within semi permeable housing with controlled water permeability. The drug is activated to release in solution form at a constant rate through a special delivery orifice. The rate of drug release is modulated by controlling the gradient of osmotic pressure. 05/10/2010 Alliance Institute, Hyderabad 26

For the drug delivery system containing a solution formulation, the intrinsic rate of drug release is defined by, Q P w Am ( π – π ) = s e t hm For the drug delivery system containing a solid formulation, the intrinsic rate of drug release is defined by, Q P w Am ( πs – πe ) Sd = t hm 05/10/2010 Alliance Institute, Hyderabad 27

Where, Q/t - rate of drug release Pw - permiability of semipermiable housing Am -effective S. A. of semipermiable housing hm - thickness of semipermiable housing ( ps - pe) – differential osmotic pressure between the drug delivery system with osmotic pressure ps & the environment with osmotic presure pe. Sd – aqueous solubility of the drug contained in the solid formulation. 05/10/2010 Alliance Institute, Hyderabad 28

Rate controlling factors : Water permeability of the semi permeable membrane. Effective surface area of the semi permeable membrane. Osmotic pressure difference across the semi permeable membrane. Ex. Alzet Osmotic pump 05/10/2010 Alliance Institute, Hyderabad 29

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b. Hydrodynamic pressureactivated Drug delivery system Also called as push-pull osmotic pump. This system is fabricated by enclosing a collapsible, impermeable container, which contains liquid drug formulation to form a drug reservoir compartment inside rigid shape-retaining housing. A composite laminate of an adsorbent layer & a swellable, hydrophilic polymer layer is sandwiched. 05/10/2010 Alliance Institute, Hyderabad 31

In the GIT, the laminate absorb the GI fluid through the annular openings at the lower end of the housing & becomes increasingly swollen, which generates hydrodynamic pressure in the system. Rate of drug release is defined by, Q = P f A m ( q s - q e) t hm Where, Pf = fluid permeability Am = effective Surface area hm = thickness of wall with anular opening (qs - qe) = differential hydrodynamic pressure between the drug delivery system & the environment. 05/10/2010 Alliance Institute, Hyderabad 32

Rate controlling factors : Fluid permeability Effective surface area of the wall with the annular opening. Hydrodynamic pressure gradient. 05/10/2010 Alliance Institute, Hyderabad 33

c. Vapor pressure-activated drug delivery system 05/10/2010 Alliance Institute, Hyderabad 34

In this system, the drug reservoir in a solution formulation, is contained inside an infusate chamber. It is physically separated from the vapor pressure chamber by a freely movable bellows. The vapor chamber contains a vaporizable fluid, which vaporizes at body temp. & creates a vapor pressure. Under the vapor pressure created, the bellows moves upward & forces the drug solution in the infusate chamber to release, through a series of flow regulators & delivery cannula into the blood circulation at a constant flow rate. 05/10/2010 Alliance Institute, Hyderabad 35

The rate of drug release is defined by, Q = d 4 (Ps -Pe) t 40. 74 ml Where. Q/t - rate of drug release d – inner diameter of cannula l – length of cannula (Ps -Pe)- the difference between the vapor pressure in the vapor chamber & pressure at the implantation site. m - viscosity of the drug solution. 05/10/2010 Alliance Institute, Hyderabad 36

Rate controlling factors : Differential vapor pressure Formulation viscosity Size of the delivery cannula Ex. An implantable infusion pump for the constant infusion of heparin for anti-coagulant therapy, insulin in diabetic treatment & morphine for patient suffering from the intensive pain of terminal cancer. 05/10/2010 Alliance Institute, Hyderabad 37

d. Mechanically activated drug delivery system In this type, drug reservoir is in solution form retained in a container equipped with mechanically activated pumping system. A measured dose of the drug formulation is reproducible delivered in to a body cavity, for ex. The nose through the spray head upon manual activation of the drug delivery pumping system. 05/10/2010 Alliance Institute, Hyderabad 38

Ex. Metered-dose inhaler Ø the volume of solution delivered is controllable, as small as 10 -100 ml & is independent of the force & duration of the activation applied as well as the solution volume in the container. 05/10/2010 Alliance Institute, Hyderabad 39

e. Magnetically activated drug delivery system 05/10/2010 Alliance Institute, Hyderabad 40

In this type, drug reservoir is a dispersion of peptide or protein powders in polymer matrix from which macromolecular drug can be delivered only at a relatively slow rate. This low rate of delivery can be improved by incorporating electromagnetically triggered vibration mechanism into polymeric device combined with a hemispherical design. Device is fabricated by positioning a tiny magnet ring in core of hemispherical drug dispersing polymer matrix. 05/10/2010 Alliance Institute, Hyderabad 41

Device is fabricated by positioning a tiny magnet ring in core of hemispherical drug dispersing polymer matrix. The external surface is coated with drug impermeable polymer (ethylene vinyl acetate or silicon elastomer) except one cavity at the centre of the flat surface. This delivery device used to deliver protein drugs such as bovine serum albumin, at a low basal rate, by a simple diffusion process under non triggering condition. As the magnet is activated to vibrate by external electromagnetic field, drug molecules are delivered at much higher rate. 05/10/2010 Alliance Institute, Hyderabad 42

f. Sonophoresis - activated drug delivery system Also called as Phonophoresis. This type of system utilizes ultrasonic energy to activate or trigger the delivery of drug from polymeric drug delivery device. System can be fabricated from nondegradable polymer (ethylene vinyl acetate) or bioerodiable polymer (poly[bis(p-carboxyphenoxy) alkane anhydride] The potential application of sonophoresis to regulate the delivery of drugs was recently reviewed. 05/10/2010 Alliance Institute, Hyderabad 43

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g. Iontophoresis activated drug delivery system This type of system uses electrical current to activate & to modulate the diffusion of charged drug across biological membrane. Iontophoresis – facilitated skin permeation rate of charged molecule (i) consist of 3 components & is expressed by, Jiisp = Jp + Je +Jc 05/10/2010 Alliance Institute, Hyderabad 45

Where, Jp – passive skin permeation flux. = Ks. Ds d. C hs Ks = partition coefficient for interfacial partitioning from donor solution to stratum corneum Ds = diffusivity across the skin d. C = concentration gradient across the skin hs Je – electrical current driven permeation flux = Zi. Di. F Ci d. E RT hs 05/10/2010 Alliance Institute, Hyderabad 46

Zi = electric valency of the ionic species i Di = diffusivity of ionic species i in the skin F = faraday constant T = absolute temperature Ci = donor conc. of ionic species i in the skin d. E = electrical potential gradient across the hs skin Jc = convective flow driven skin permeation flux = k C s Id Where, K = propertionality constant Cs= conc. In the skin tissue Id = current density applied 05/10/2010 Alliance Institute, Hyderabad 47

Schematic diagram illustrating the principles of iontophoresis. 05/10/2010 Alliance Institute, Hyderabad 48

This system to facilitate the percutaneous penetration of anti-inflammatory drugs such as dexamethasone sodium phosphate to surface tissue. 05/10/2010 Alliance Institute, Hyderabad 49

h. Hydration activated drug delivery system In this system, the drug reservoir is homogeneously dispersed in a swellable polymer matrix fabricated from a hydrophilic polymer (ethylene glycomethacrylate). The release of drug is controlled by the rate of swelling of polymer matrix. 05/10/2010 Alliance Institute, Hyderabad 50

i. p. H- activated drug delivery system This type of chemically activated system permits targeting the delivery of drug only in the region with selected p. H range. It fabricated by coating the drug-containing core with a p. H – sensitive polymer combination. For instances, a gastric fluid labile drug is protected by encapsulating it inside a polymer membrane that resist the degradative action of gastric p. H. 05/10/2010 Alliance Institute, Hyderabad 51

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In the stomach, coating membrane resists the action of gastric fluid (p. H<3) & the drug molecule thus protected from acid degradation. After gastric emptying the DDS travels to the small intestine & intestinal fluid (p. H>7. 5) activates the erosion of the intestinal fluid soluble polymer from the coating membrane. This leaves a micro porous membrane constructed from the intestinal fluid insoluble polymer, which controls the release of drug from the core tablet. The drug solute is thus delivered at a controlled manner in the intestine by a combination of drug dissolution & pore-channel diffusion. 05/10/2010 Alliance Institute, Hyderabad 53

j. Ion- activated drug delivery system 05/10/2010 Alliance Institute, Hyderabad 54

An ionic or a charged drug can be delivered by this method & this system are prepared by first complexing an ionic drug with an ion-exchange resin containing a suitable counter ion. Ex. By forming a complex between a cationic drug with a resin having a So 3 - group or between an anionic drug with a resin having a N(CH 3)3 group. Ø The granules of drug-resin complex are first treated with an impregnating agent & then coated with a water-insoluble but waterpermeable polymeric membrane. 05/10/2010 Alliance Institute, Hyderabad 55

Ø This membrane serves as a rate-controlling barrier to modulate the influx of ions as well as the release of drug from the system. Ø In an electrolyte medium, such as gastric fluid ions diffuse into the system react with drug resin complex & trigger the release of ionic drug. Ø Since the GI fluid regularly maintains a relatively constant level of ions, theoretically the delivery of drug from this ion activated oral drug delivery system can be maintained at a relatively constant rate. 05/10/2010 Alliance Institute, Hyderabad 56

K. Hydrolysis- activated drug delivery system This type of system depends on the hydrolysis process to activate the release of drug. Drug reservoir is either encapsulated in microcapsules or homogeneously dispersed in microspheres or nano particles for injection. 05/10/2010 Alliance Institute, Hyderabad 57

It can also be fabricated as an implantable device. All these systems prepared from bioerodible or biodegradable polymers (polyanhydride, polyorthoesters). It is activated by hydrolysis-induced degradation of polymer chain & is controlled by rate of polymer degradation. Ex. LHRH – releasing biodegradable subdermal implant, which is designed to deliver goserline, a synthetic LHRH analog for once a month treatment of prostate carcinoma. 05/10/2010 Alliance Institute, Hyderabad 58

l. Enzyme - activated drug delivery system This type of biochemical system depends on the enzymatic process to activate the release of drug. Drug reservoir is either physically entrapped in microspheres or chemically bound to polymer chains from biopolymers (albumins or polypeptides). The release of drug is activated by enzymatic hydrolysis of biopolymers (albumins or polypeptides) by specific enzyme in target tissue. 05/10/2010 Alliance Institute, Hyderabad 59

Ex. Albumin microspheres release 5 – fluorouracil in a controlled manner by protease – activated biodegradation. 05/10/2010 Alliance Institute, Hyderabad 60

Feedback regulated drug delivery system In this group the release of drug molecules from the delivery system is activated by a triggering agent. Rate of drug release is controlled by concentration of triggering agent. 05/10/2010 Alliance Institute, Hyderabad 61

They are further classified as A. Bioerosion-regulated drug delivery system B. Bioresponsive drug delivery system C. Self-regulating drug delivery system 05/10/2010 Alliance Institute, Hyderabad 62

A. Bioerosion-regulated drug delivery system This system was developed by Heller & Trescony. The system consisted of drug-dispersed bioerodible matrix fabricated from poly (vinyl methyl ether) ester which is coated with layer of immobilized urease. 05/10/2010 Alliance Institute, Hyderabad 63

In a solution with near neutral p. H, the polymer only erodes very slowly. In presence of urea, urease metabolizes urea to form ammonia. This causes increase in p. H & rapid degradation of polymer with release of drug molecule. 05/10/2010 Alliance Institute, Hyderabad 64

B. Bioresponsive drug delivery system Drug reservoir is contained in device enclosed by bioresponsive polymeric membrane whose drug permeability is controlled by concentration of biochemical agent. 05/10/2010 Alliance Institute, Hyderabad 65

Ex. – glucose-triggered insulin drug delivery system. 05/10/2010 Alliance Institute, Hyderabad 66

In this system, the insulin reservoir is encapsulated within hydro gel membrane having –NR 2 group. In alkaline solution, the –NR 2 are neutral & the membrane is unswollen & impermeable to insulin. Glucose penetrates into the membrane, it oxidizes enzymatically by the glucose oxidase entrapped in the membrane to form gluconic acid. The –NR 2 group is protonated to form –NR 2 H+ & the hydro gel membrane then becomes swollen & permeable to insulin molecules. 05/10/2010 Alliance Institute, Hyderabad 67

C. Self-regulating drug delivery system This type of system depends on a reversible & competitive binding mechanism to activate and to regulate the release of drug. Drug reservoir is drug complex encapsulated within a semi permeable polymeric membrane. The release of drug from the delivery system is activated by the membrane permeation of biochemical agent from the tissue in which the system is located. 05/10/2010 Alliance Institute, Hyderabad 68

Ex. In the complex of glycosylated insulin concanavalin A, which is encapsulated inside a polymer membrane. Glucose penetrates into the system & it activates the release of glycosylated insulin from the complex for controlled delivery out of system. 05/10/2010 Alliance Institute, Hyderabad 69

Effects of system parameters Polymer solubility Solution solubility Partition coefficient Polymer diffusivity Solution diffusivity Thickness of polymer diffusional path Thickness of hydrodynamic diffusion layer Drug loading dose Surface area 05/10/2010 Alliance Institute, Hyderabad 70

Polymer diffusivity (Dp) The diffusion of small molecules in a polymer structure is a energy activated process in which the diffusant molecules move to a successive series of equilibrium positions when a sufficient amount of energy of activation for diffusion Ed, has been acquired by the diffusant & it’s surrounding polymer matrix. 05/10/2010 Alliance Institute, Hyderabad 71

This energy- activated diffusion process is frequently described by the following Arrhenius relationship : Dp = D 0 e-(Ed/RT) The bulkier the functional group attached to polymer chain lower the polymer diffusivity. Magnitude of polymer diffusivity is dependant upon type of functional group and type of stereo chemical position in diffusant molecule. 05/10/2010 Alliance Institute, Hyderabad 72

Polymer diffusivity also depends on 1) Effect of cross linking 2) Effect of crystallinity 3) Effect of fillers 05/10/2010 Alliance Institute, Hyderabad 73

Solution diffusivity (Ds) • The diffusion of solute molecules in solution medium is a result of the random motion of molecules. • Under concentration gradient molecule diffuse spontaneously from higher concentration to lower concentration. • The diffusivity of the solute molecules in the aqueous solution whose molar volume is equal to or greater than the molar volume of water molecules is inversely proportional to the cube root of their volume. 05/10/2010 Alliance Institute, Hyderabad 74

When solution diffusivity are compared on bases of molecular volume, alkanes are most rapidly diffusing chemicals. The relative rates of diffusion of various chemical classes are as follows : alkane > alcohol > amides > acids > amino acids > dicarboxylic acid Diffusivity of solute molecule in aqueous solution usually decreases as its concentration increases. 05/10/2010 Alliance Institute, Hyderabad 75

Thickness of polymer diffusional path (hp) Control release of drug species from both polymer membrane & polymer matrix controlled drug delivery system is governed by, 1) The solute diffusion coefficient in the membrane lipid. 2) The thickness of the membrane. 05/10/2010 Alliance Institute, Hyderabad 76

• hp value for polymer membrane controlled reservoir devices, which are fabricated from non biodegradable and non swollen polymer, the value is defined by polymer wall with constant thickness that is invariable with time span. • In polymer matrix controlled reservoir devices, which are fabricated from non biodegradable polymers, the thickness of diffusional path is defined as drug depletion zone progressively in proportion to the square root of time. 05/10/2010 Alliance Institute, Hyderabad 77

The rate of growth in the hp value can be defined mathematically by : t 1/2 = 2 Cp. Dp ( A – C /2 p 1/2 ( hp Where, Cp = solubility of drug in the polymer phase Dp = diffusivity of drug in the polymer matrix A = loading dose of a drug 05/10/2010 Alliance Institute, Hyderabad 78

Thickness of hydrodynamic diffusion layer (hd) The hydrodynamic diffusion layer has a rate limiting role on controlled release dosage form. Magnitude of drug release value decreases as the thickness of hydrodynamic diffusion layer is increased. 05/10/2010 Alliance Institute, Hyderabad 79

Polymer solubility • Drug particles are not released until they dissociate from their crystal lattice structure, dissolve or partition into surrounding polymer. • Solubility of drug in polymer membrane or matrix plays important role in it’s release from a polymeric device. • For a drug to release at an appropriate rate the drug should have adequate polymer solubility. • Rate of drug release is directly proportional to magnitude of polymer solubility. 05/10/2010 Alliance Institute, Hyderabad 80

Solution solubility Aqueous solubility varies from one drug to another. Difference in aqueous solubility is depend on the difference in their chemical structure, types & physicochemical nature of functional groups & the variations in their stereo chemical configurations. By using a water – miscible cosolvent as a solubilizer & addition of the cosolvent into the elution solution to increase the solution solubility of drugs. 05/10/2010 Alliance Institute, Hyderabad 81

• Solubilization of poorly soluble drug in aqueous solution can be accomplished by using multiple co-solvent system. • Drug release increases with increase in Solution solubility of drug. 05/10/2010 Alliance Institute, Hyderabad 82

Partition coefficient • Partition co-efficient K of a drug for it’s interfacial partitioning from the surface of a drug delivery device towards an elution medium as given : K = Cs/Cp Where, Cs = conc. Of drug at the solution/polymer interface Cp = solubility of drug in the polymer phase. 05/10/2010 Alliance Institute, Hyderabad 83

Ratio of drug solubility in the elution solution Cs over its solubility in polymer composition Cp of device. Any variation in either Cs or Cp result in increase or decrease in magnitude of ‘K’ value. Rate of drug release increase with increase in partition coefficient. 05/10/2010 Alliance Institute, Hyderabad 84

Drug loading dose In preparation of the device varying loading doses of drugs are incorporated, as required for different length of treatment. Variation in the loading doses results only in the change in duration of action with constant drug release profile. 05/10/2010 Alliance Institute, Hyderabad 85

Surface Area Both the in-vivo & in-vitro rates of drug release dependant on the surface area of the drug delivery device. Greater the surface area greater will be the rate of drug release. 05/10/2010 Alliance Institute, Hyderabad 86